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Finding the Third Proportional to 176.06 and 197.91

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Solution

The third proportional to 176.06 and 197.91 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 197.91 = 197.91 : x
  2. Step 2: Convert to fraction form
    176.06/197.91 = 197.91/x
  3. Step 3: Cross multiply
    176.06x = 197.91 × 197.91
  4. Step 4: Simplify right side
    176.06x = 39,166.88
  5. Step 5: Solve for x
    x = 39,166.88/176.06
  6. Step 6: Final answer
    x = 222.46

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.